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Finding the Third Proportional to 7,111,432 and 11,297,008

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Solution

The third proportional to 7,111,432 and 11,297,008 is: 17,946,088.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111,432 : 11,297,008 = 11,297,008 : x
  2. Step 2: Convert to fraction form
    7,111,432/11,297,008 = 11,297,008/x
  3. Step 3: Cross multiply
    7,111,432x = 11,297,008 × 11,297,008
  4. Step 4: Simplify right side
    7,111,432x = 127,622,389,752,064
  5. Step 5: Solve for x
    x = 127,622,389,752,064/7,111,432
  6. Step 6: Final answer
    x = 17,946,088.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.